Pith Number

pith:KJUPYGFU

pith:1994:KJUPYGFUN73VBTJDDY27VNZPCA

not attested not anchored not stored refs pending

Essential Kurepa trees versus essential Jech---Kunen trees

Renling Jin, Saharon Shelah

arxiv:math/9401217 v1 · 1994-01-15 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJUPYGFUN73VBTJDDY27VNZPCA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:51.704785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5268fc18b46ff750cd231e35fab72f102f245729f55564b9dde030c945db9c31

Aliases

arxiv: math/9401217 · arxiv_version: math/9401217v1 · doi: 10.48550/arxiv.math/9401217 · pith_short_12: KJUPYGFUN73V · pith_short_16: KJUPYGFUN73VBTJD · pith_short_8: KJUPYGFU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KJUPYGFUN73VBTJDDY27VNZPCA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5268fc18b46ff750cd231e35fab72f102f245729f55564b9dde030c945db9c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a178aa4e96045213b34febef1ae221769196b1aec98a94759d6bc3453025f3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1994-01-15T00:00:00Z",
    "title_canon_sha256": "42b18a219563f9e2459b1d4e6d5a93e5fcc2f280a8cfa373ff1336cbe5aee284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9401217",
    "kind": "arxiv",
    "version": 1
  }
}